Reliability Assessment of the Ammunition Spring Based on Multiple Random Effects Wiener Process
Received:July 02, 2021  Revised:August 23, 2021
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DOI:10.7643/issn.1672-9242.2022.04.001
KeyWord:random effect Wiener process  time scale transformation  nonlinear  sample difference  multivariate performance  Copula function
           
AuthorInstitution
ZHAI Ke-da School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing , China
GU Xiao-hui School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing , China
SUN Li School of Mechanical Engineering, Jiangsu University of Science and Technology, Jiangsu Zhenjiang , China
PAN Shou-hua Xi'an Qinghua Co.Ltd., North Special Energy Group Co.Ltd., Xi'an , China
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Abstract:
      In order to solve the uncertainty in reliability evaluation of the ammunition spring, the accelerated degradation experiment is carried out on it. During the experiment, it is found that it has multiple performance degradation parameters, and the degradation process has the characteristics of nonlinearity, randomness and sample difference. In order to characterize the degradation process mathematically, a degradation model based on multivariate random effects Wiener process is proposed. Firstly, the nonlinear Wiener process based on time scale transformation is used to describe the nonlinear and randomness of the spring degradation process, and the sample difference is characterized based on the random effect model. Then, Copula function is used to describe the interaction between multiple performance parameters. Finally, the probability density function and reliability function of the spring failure life are derived. When the storage condition is 25 ℃ and the reliability is 0.9, based on the multivariate random effect Wiener process model constructed in this paper, the storage life of a certain ammunition spring is 12 years when the correlation between performance is considered, and 11.5 years when the correlation between performance is not considered. The multivariate random degradation model constructed provides a theoretical basis for the health state management of the ammunition.
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